Matematika

Pertanyaan

Diketahui tan M = 8/15
Tentukan nilai sin M dan cos M

1 Jawaban

  • Tan M = 8/15
    1 + tan^2 M = Sec^2 M
    1+(8/15)^2 = Sec^2 M
    1 + 64/225 = Sec^2 M
    Sec^2 = 64+225/225
    Sec^2 = 289/225
    Sec M= 17/15
    *Sin M
    Cos M = 1/Sec
    Cos M = 1/17/15
    Cos M = 1 × 17/15
    Cos M = 17/15
    *Sin M
    Tan M=Sin M/Cos M
    8/15 = Sin M/ 17/15
    Sin M = 8/15 × 17/15 = 8/17

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